Question

К магазину завезли яблоки и груши. Груши становили 30% от всего. Яблок было на 126 кг больше чем груш. Сколько всего килограмм яблок и груш завезли в магазин.

Answer 1

Пусть яблок х, груш у
$\left \{ {{y=0,3(x+y)} \atop {x-120=y}} \right.\\ \left \{ {{x-120=0,3(x+x-120)} \atop {x-120=y}} \right.\\ \left \{ {{x-120=0,3(2x-120)} \atop {x-120=y}} \right.\\ \left \{ {{x-120=0,6x-36} \atop {x-120=y}} \right.\\ \left \{ {{0,4x=84} \atop {x-120=y}} \right.\\ \left \{ {{x=210} \atop {y=210-120}} \right.\\ \left \{ {{x=210} \atop {y=90}} \right.$
ответ 210 кг яблок и 90 кг груш

Answer 2

Problem Analysis

To solve this problem, we need to determine the total weight of apples and pears that were delivered to the store. We are given that pears accounted for 30% of the total weight, and the weight of apples was 126 kg more than the weight of pears.

Solution

Let's assume the total weight of apples and pears is x kg. Since pears accounted for 30% of the total weight, the weight of pears can be calculated as 0.3x kg.

According to the given information, the weight of apples was 126 kg more than the weight of pears. So, the weight of apples can be expressed as 0.3x + 126 kg.

The total weight of apples and pears is the sum of their individual weights: x = 0.3x + 126

To solve this equation, we can subtract 0.3x from both sides: 0.7x = 126

Now, we can solve for x by dividing both sides by 0.7: x = 126 / 0.7

Let's calculate the value of x to find the total weight of apples and pears.

Calculation

x = 126 / 0.7

Using a calculator, we find that x ≈ 180 kg.

Therefore, the total weight of apples and pears that were delivered to the store is approximately 180 kg.

Answer

The total weight of apples and pears that were delivered to the store is approximately 180 kg.